{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "线性回归模型的多层次实现.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "toc_visible": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "moUWgmtAbHro"
      },
      "source": [
        "# 线性回归模型的多层次实现"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8zAOqPtfa1Zm"
      },
      "source": [
        "import tensorflow as tf\n",
        "\n",
        "# 打印时间分割线\n",
        "@tf.function\n",
        "def printbar():\n",
        "    today_ts = tf.timestamp()%(24*60*60)\n",
        "\n",
        "    hour = tf.cast(today_ts//3600+8,tf.int32)%tf.constant(24)\n",
        "    minite = tf.cast((today_ts%3600)//60,tf.int32)\n",
        "    second = tf.cast(tf.floor(today_ts%60),tf.int32)\n",
        "    \n",
        "    def timeformat(m):\n",
        "        if tf.strings.length(tf.strings.format(\"{}\",m))==1:\n",
        "            return(tf.strings.format(\"0{}\",m))\n",
        "        else:\n",
        "            return(tf.strings.format(\"{}\",m))\n",
        "    \n",
        "    timestring = tf.strings.join([timeformat(hour),timeformat(minite),\n",
        "                timeformat(second)],separator = \":\")\n",
        "    \n",
        "    tf.print(\"==========\"*8+timestring)"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xtpG5jr-bnb8"
      },
      "source": [
        "# 准备数据"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "J34na2YCbmKv"
      },
      "source": [
        "import numpy as np \n",
        "import pandas as pd\n",
        "from matplotlib import pyplot as plt \n",
        "import tensorflow as tf\n",
        "\n",
        "\n",
        "# 样本数量\n",
        "n = 400\n",
        "\n",
        "# 生成测试用数据集\n",
        "X = tf.random.uniform([n,2], minval=-10, maxval=10) \n",
        "w0 = tf.constant([[2.0],[-3.0]])\n",
        "b0 = tf.constant([[3.0]])\n",
        "Y = X@w0 + b0 + tf.random.normal([n,1],mean = 0.0,stddev= 2.0)  # @表示矩阵乘法,增加正态扰动\n"
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0H5ZQVqPb04N",
        "outputId": "a8fe8490-7b3b-4c70-c1f6-2bb0d17a7a17",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 463
        }
      },
      "source": [
        "# 数据可视化\n",
        "\n",
        "%matplotlib inline\n",
        "%config InlineBackend.figure_format = 'svg'\n",
        "\n",
        "plt.figure(figsize = (12,5))\n",
        "ax1 = plt.subplot(121)\n",
        "ax1.scatter(X[:,0],Y[:,0], c = \"b\")\n",
        "plt.xlabel(\"x1\")\n",
        "plt.ylabel(\"y\",rotation = 0)\n",
        "\n",
        "ax2 = plt.subplot(122)\n",
        "ax2.scatter(X[:,1],Y[:,0], c = \"g\")\n",
        "plt.xlabel(\"x2\")\n",
        "plt.ylabel(\"y\",rotation = 0)\n",
        "plt.show()"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
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          "metadata": {
            "tags": [],
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      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tBKUTMEJcGaL",
        "outputId": "586c67cf-4a11-4a1a-f764-8e9bb38bfd99",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 323
        }
      },
      "source": [
        "# 构建数据管道迭代器\n",
        "def data_iter(features, labels, batch_size=8):\n",
        "    num_examples = len(features)\n",
        "    indices = list(range(num_examples))\n",
        "    np.random.shuffle(indices)  #样本的读取顺序是随机的\n",
        "    for i in range(0, num_examples, batch_size):\n",
        "        indexs = indices[i: min(i + batch_size, num_examples)]\n",
        "        yield tf.gather(features,indexs), tf.gather(labels,indexs)\n",
        "        \n",
        "# 测试数据管道效果   \n",
        "batch_size = 8\n",
        "(features,labels) = next(data_iter(X,Y,batch_size))\n",
        "print(features)\n",
        "print(labels)"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "tf.Tensor(\n",
            "[[ 4.74144     7.889681  ]\n",
            " [-6.6635633   7.1749306 ]\n",
            " [ 0.34623146 -5.090759  ]\n",
            " [-2.6471019  -7.6784515 ]\n",
            " [ 5.9545593   7.0171757 ]\n",
            " [ 8.550659   -5.142629  ]\n",
            " [-7.0783806   3.3749886 ]\n",
            " [-1.767004   -6.1898327 ]], shape=(8, 2), dtype=float32)\n",
            "tf.Tensor(\n",
            "[[-10.035969]\n",
            " [-34.120247]\n",
            " [ 18.05651 ]\n",
            " [ 24.490097]\n",
            " [ -5.932144]\n",
            " [ 38.71741 ]\n",
            " [-23.40358 ]\n",
            " [ 14.747521]], shape=(8, 1), dtype=float32)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "iCcTnG51cwv1"
      },
      "source": [
        "# 低阶 API"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XZqtoy5dewZM"
      },
      "source": [
        "## 定义模型"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PaZ8Xqr7csZ7"
      },
      "source": [
        "w = tf.Variable(tf.random.normal(w0.shape))\n",
        "b = tf.Variable(tf.zeros_like(b0,dtype = tf.float32))\n",
        "\n",
        "# 定义模型\n",
        "class LinearRegression:     \n",
        "    #正向传播\n",
        "    def __call__(self,x): \n",
        "        return x@w + b\n",
        "\n",
        "    # 损失函数\n",
        "    def loss_func(self, y_true, y_pred):  \n",
        "        return tf.reduce_mean((y_true - y_pred)**2/2)\n",
        "\n",
        "model = LinearRegression()"
      ],
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sgW2yNsFc68O"
      },
      "source": [
        "## 训练模型"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "K-VwRWsPc8FM"
      },
      "source": [
        "# 使用动态图调试\n",
        "@tf.function\n",
        "def train_step(model, features, labels):\n",
        "    with tf.GradientTape() as tape:\n",
        "        predictions = model(features)\n",
        "        loss = model.loss_func(labels, predictions)\n",
        "    # 反向传播求梯度\n",
        "    dloss_dw,dloss_db = tape.gradient(loss,[w,b])\n",
        "    # 梯度下降法更新参数\n",
        "    w.assign(w - 0.001*dloss_dw)\n",
        "    b.assign(b - 0.001*dloss_db)\n",
        "    \n",
        "    return loss"
      ],
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JPCEi-9OdGwy",
        "outputId": "7b7c87c7-1bfb-4e59-852d-5429b5815e3b",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "# 测试train_step效果\n",
        "batch_size = 10\n",
        "(features,labels) = next(data_iter(X,Y,batch_size))\n",
        "train_step(model,features,labels)"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<tf.Tensor: shape=(), dtype=float32, numpy=348.93536>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "l4y3k0W3dLKW",
        "outputId": "fcc53e2f-a746-47c7-d4c7-1c35bd8343d0",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 377
        }
      },
      "source": [
        "def train_model(model,epochs):\n",
        "    for epoch in tf.range(1,epochs+1):\n",
        "        for features, labels in data_iter(X,Y,10):\n",
        "            loss = train_step(model,features,labels)\n",
        "\n",
        "        if epoch%50==0:\n",
        "            printbar()\n",
        "            tf.print(\"epoch =\",epoch,\"loss = \",loss)\n",
        "            tf.print(\"w =\",w)\n",
        "            tf.print(\"b =\",b)\n",
        "\n",
        "train_model(model,epochs = 200)"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "================================================================================18:29:40\n",
            "epoch = 50 loss =  2.82445335\n",
            "w = [[2.02097297]\n",
            " [-3.0003252]]\n",
            "b = [[2.99476624]]\n",
            "================================================================================18:29:44\n",
            "epoch = 100 loss =  2.67956805\n",
            "w = [[2.03775692]\n",
            " [-3.00236607]]\n",
            "b = [[2.99380207]]\n",
            "================================================================================18:29:48\n",
            "epoch = 150 loss =  2.56519294\n",
            "w = [[2.01518416]\n",
            " [-2.99936295]]\n",
            "b = [[2.99314165]]\n",
            "================================================================================18:29:52\n",
            "epoch = 200 loss =  2.97016692\n",
            "w = [[2.03759217]\n",
            " [-3.00029922]]\n",
            "b = [[2.99328423]]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "58f9JpjEddQF"
      },
      "source": [
        "## 结果展示"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_EAuBmffdfAW",
        "outputId": "9c0296a7-60cd-4038-d392-589b592b91be",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 463
        }
      },
      "source": [
        "# 结果可视化\n",
        "\n",
        "%matplotlib inline\n",
        "%config InlineBackend.figure_format = 'svg'\n",
        "\n",
        "plt.figure(figsize = (12,5))\n",
        "ax1 = plt.subplot(121)\n",
        "ax1.scatter(X[:,0],Y[:,0], c = \"b\",label = \"samples\")\n",
        "ax1.plot(X[:,0],w[0]*X[:,0]+b[0],\"-r\",linewidth = 5.0,label = \"model\")\n",
        "ax1.legend()\n",
        "plt.xlabel(\"x1\")\n",
        "plt.ylabel(\"y\",rotation = 0)\n",
        "\n",
        "\n",
        "ax2 = plt.subplot(122)\n",
        "ax2.scatter(X[:,1],Y[:,0], c = \"g\",label = \"samples\")\n",
        "ax2.plot(X[:,1],w[1]*X[:,1]+b[0],\"-r\",linewidth = 5.0,label = \"model\")\n",
        "ax2.legend()\n",
        "plt.xlabel(\"x2\")\n",
        "plt.ylabel(\"y\",rotation = 0)\n",
        "\n",
        "plt.show()\n"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 2 Axes>"
            ],
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          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7x6i6MWCdlBx"
      },
      "source": [
        "# 中阶 API"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tJTg3Z6jdns8"
      },
      "source": [
        "# 构建输入数据管道\n",
        "ds = tf.data.Dataset.from_tensor_slices((X,Y)) \\\n",
        "     .shuffle(buffer_size = 100).batch(10) \\\n",
        "     .prefetch(tf.data.experimental.AUTOTUNE)  "
      ],
      "execution_count": 13,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qf-TKAVseSHb"
      },
      "source": [
        "## 定义模型\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2SIKhf86eXN5"
      },
      "source": [
        "from tensorflow.keras import layers,losses,metrics,optimizers\n",
        "\n",
        "model = layers.Dense(units = 1) \n",
        "model.build(input_shape = (2,)) # 用 build 方法创建 variables\n",
        "model.loss_func = losses.mean_squared_error\n",
        "model.optimizer = optimizers.SGD(learning_rate=0.001)"
      ],
      "execution_count": 16,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "N3hyCay5ed8t"
      },
      "source": [
        "## 训练模型"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VQI36lMzeffA",
        "outputId": "212be257-db3d-4da3-ca93-3289ffd03212",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 377
        }
      },
      "source": [
        "# 使用autograph机制转换成静态图加速\n",
        "@tf.function\n",
        "def train_step(model, features, labels):\n",
        "    with tf.GradientTape() as tape:\n",
        "        predictions = model(features)\n",
        "        loss = model.loss_func(tf.reshape(labels,[-1]), tf.reshape(predictions,[-1]))\n",
        "    grads = tape.gradient(loss,model.variables)\n",
        "    model.optimizer.apply_gradients(zip(grads,model.variables))\n",
        "    return loss\n",
        "\n",
        "# 测试 train_step 效果\n",
        "features,labels = next(ds.as_numpy_iterator())\n",
        "train_step(model,features,labels)\n",
        "\n",
        "def train_model(model,epochs):\n",
        "    for epoch in tf.range(1,epochs+1):\n",
        "        loss = tf.constant(0.0)\n",
        "        for features, labels in ds:\n",
        "            loss = train_step(model,features,labels)\n",
        "            \n",
        "        if epoch%50==0:\n",
        "            printbar()\n",
        "            tf.print(\"epoch =\",epoch,\"loss = \",loss)\n",
        "            tf.print(\"w =\",model.variables[0])\n",
        "            tf.print(\"b =\",model.variables[1])\n",
        "  \n",
        "train_model(model,epochs = 200)"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "================================================================================18:35:05\n",
            "epoch = 50 loss =  5.487885\n",
            "w = [[2.0212338]\n",
            " [-2.99273038]]\n",
            "b = [2.94328976]\n",
            "================================================================================18:35:07\n",
            "epoch = 100 loss =  6.56964\n",
            "w = [[2.03173566]\n",
            " [-2.98185158]]\n",
            "b = [2.99711871]\n",
            "================================================================================18:35:08\n",
            "epoch = 150 loss =  4.19853354\n",
            "w = [[2.04785562]\n",
            " [-2.9908154]]\n",
            "b = [2.99681926]\n",
            "================================================================================18:35:10\n",
            "epoch = 200 loss =  4.84950733\n",
            "w = [[2.03336811]\n",
            " [-2.99567819]]\n",
            "b = [2.99853277]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4PdwzI6qey7j"
      },
      "source": [
        "## 结果展示"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HebaiHp-e0O2",
        "outputId": "96a63407-acc0-4f45-fb5f-902b7dd126a9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 463
        }
      },
      "source": [
        "# 结果可视化\n",
        "\n",
        "%matplotlib inline\n",
        "%config InlineBackend.figure_format = 'svg'\n",
        "\n",
        "w,b = model.variables\n",
        "\n",
        "plt.figure(figsize = (12,5))\n",
        "ax1 = plt.subplot(121)\n",
        "ax1.scatter(X[:,0],Y[:,0], c = \"b\",label = \"samples\")\n",
        "ax1.plot(X[:,0],w[0]*X[:,0]+b[0],\"-r\",linewidth = 5.0,label = \"model\")\n",
        "ax1.legend()\n",
        "plt.xlabel(\"x1\")\n",
        "plt.ylabel(\"y\",rotation = 0)\n",
        "\n",
        "\n",
        "\n",
        "ax2 = plt.subplot(122)\n",
        "ax2.scatter(X[:,1],Y[:,0], c = \"g\",label = \"samples\")\n",
        "ax2.plot(X[:,1],w[1]*X[:,1]+b[0],\"-r\",linewidth = 5.0,label = \"model\")\n",
        "ax2.legend()\n",
        "plt.xlabel(\"x2\")\n",
        "plt.ylabel(\"y\",rotation = 0)\n",
        "\n",
        "plt.show()"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Zd98X3cEe9Kh"
      },
      "source": [
        "# 高阶 API\n",
        "\n",
        "TensorFlow 的高阶 API 主要为 tf.keras.models 提供的模型的类接口。使用 Keras 接口有以下3种方式构建模型：使用 Sequential 按层顺序构建模型，使用函数式 API 构建任意结构模型，继承 Model 基类构建自定义模型。\n",
        "\n",
        "此处分别演示使用Sequential按层顺序构建模型以及继承Model基类构建自定义模型。"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EQV3rSbrfItK"
      },
      "source": [
        "## 定义模型"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_8dfCci4fKSO",
        "outputId": "1add0087-33b0-4e41-c97b-5307cc13512a",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 187
        }
      },
      "source": [
        "from tensorflow.keras import models,layers,losses,metrics,optimizers\n",
        "\n",
        "tf.keras.backend.clear_session()\n",
        "\n",
        "model = models.Sequential()\n",
        "model.add(layers.Dense(1,input_shape =(2,)))\n",
        "model.summary()"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Model: \"sequential\"\n",
            "_________________________________________________________________\n",
            "Layer (type)                 Output Shape              Param #   \n",
            "=================================================================\n",
            "dense (Dense)                (None, 1)                 3         \n",
            "=================================================================\n",
            "Total params: 3\n",
            "Trainable params: 3\n",
            "Non-trainable params: 0\n",
            "_________________________________________________________________\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EtXv7a0afVSg"
      },
      "source": [
        "## 训练模型"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XDfgF1VufW4p",
        "outputId": "9f3f8689-a8c1-4b50-88fb-55fc5b6b54ee",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "### 使用fit方法进行训练\n",
        "\n",
        "model.compile(optimizer=\"adam\",loss=\"mse\",metrics=[\"mae\"])\n",
        "model.fit(X,Y,batch_size = 10,epochs = 200)  \n",
        "\n",
        "tf.print(\"w = \",model.layers[0].kernel)\n",
        "tf.print(\"b = \",model.layers[0].bias)"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Epoch 1/200\n",
            "40/40 [==============================] - 0s 868us/step - loss: 680.4720 - mae: 21.5911\n",
            "Epoch 2/200\n",
            "40/40 [==============================] - 0s 862us/step - loss: 664.8797 - mae: 21.3402\n",
            "Epoch 3/200\n",
            "40/40 [==============================] - 0s 910us/step - loss: 649.3632 - mae: 21.0929\n",
            "Epoch 4/200\n",
            "40/40 [==============================] - 0s 913us/step - loss: 634.0779 - mae: 20.8446\n",
            "Epoch 5/200\n",
            "40/40 [==============================] - 0s 963us/step - loss: 619.3495 - mae: 20.5977\n",
            "Epoch 6/200\n",
            "40/40 [==============================] - 0s 905us/step - loss: 604.6261 - mae: 20.3525\n",
            "Epoch 7/200\n",
            "40/40 [==============================] - 0s 903us/step - loss: 590.1236 - mae: 20.1073\n",
            "Epoch 8/200\n",
            "40/40 [==============================] - 0s 882us/step - loss: 576.1805 - mae: 19.8646\n",
            "Epoch 9/200\n",
            "40/40 [==============================] - 0s 833us/step - loss: 562.1744 - mae: 19.6229\n",
            "Epoch 10/200\n",
            "40/40 [==============================] - 0s 858us/step - loss: 548.7174 - mae: 19.3842\n",
            "Epoch 11/200\n",
            "40/40 [==============================] - 0s 886us/step - loss: 535.2549 - mae: 19.1475\n",
            "Epoch 12/200\n",
            "40/40 [==============================] - 0s 973us/step - loss: 522.0768 - mae: 18.9132\n",
            "Epoch 13/200\n",
            "40/40 [==============================] - 0s 871us/step - loss: 509.2868 - mae: 18.6771\n",
            "Epoch 14/200\n",
            "40/40 [==============================] - 0s 965us/step - loss: 496.6488 - mae: 18.4438\n",
            "Epoch 15/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 484.2480 - mae: 18.2101\n",
            "Epoch 16/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 472.1462 - mae: 17.9822\n",
            "Epoch 17/200\n",
            "40/40 [==============================] - 0s 855us/step - loss: 460.2702 - mae: 17.7511\n",
            "Epoch 18/200\n",
            "40/40 [==============================] - 0s 999us/step - loss: 448.5715 - mae: 17.5243\n",
            "Epoch 19/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 437.0908 - mae: 17.2994\n",
            "Epoch 20/200\n",
            "40/40 [==============================] - 0s 971us/step - loss: 425.8754 - mae: 17.0736\n",
            "Epoch 21/200\n",
            "40/40 [==============================] - 0s 950us/step - loss: 414.8879 - mae: 16.8527\n",
            "Epoch 22/200\n",
            "40/40 [==============================] - 0s 896us/step - loss: 403.9854 - mae: 16.6284\n",
            "Epoch 23/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 393.4606 - mae: 16.4093\n",
            "Epoch 24/200\n",
            "40/40 [==============================] - 0s 931us/step - loss: 382.9303 - mae: 16.1897\n",
            "Epoch 25/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 372.7438 - mae: 15.9703\n",
            "Epoch 26/200\n",
            "40/40 [==============================] - 0s 853us/step - loss: 362.7527 - mae: 15.7515\n",
            "Epoch 27/200\n",
            "40/40 [==============================] - 0s 850us/step - loss: 352.8965 - mae: 15.5357\n",
            "Epoch 28/200\n",
            "40/40 [==============================] - 0s 972us/step - loss: 343.3585 - mae: 15.3222\n",
            "Epoch 29/200\n",
            "40/40 [==============================] - 0s 899us/step - loss: 333.8885 - mae: 15.1078\n",
            "Epoch 30/200\n",
            "40/40 [==============================] - 0s 881us/step - loss: 324.6731 - mae: 14.8966\n",
            "Epoch 31/200\n",
            "40/40 [==============================] - 0s 857us/step - loss: 315.5810 - mae: 14.6867\n",
            "Epoch 32/200\n",
            "40/40 [==============================] - 0s 901us/step - loss: 306.8319 - mae: 14.4776\n",
            "Epoch 33/200\n",
            "40/40 [==============================] - 0s 803us/step - loss: 298.0073 - mae: 14.2689\n",
            "Epoch 34/200\n",
            "40/40 [==============================] - 0s 904us/step - loss: 289.6150 - mae: 14.0635\n",
            "Epoch 35/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 281.2768 - mae: 13.8600\n",
            "Epoch 36/200\n",
            "40/40 [==============================] - 0s 971us/step - loss: 273.1281 - mae: 13.6548\n",
            "Epoch 37/200\n",
            "40/40 [==============================] - 0s 972us/step - loss: 265.1530 - mae: 13.4531\n",
            "Epoch 38/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 257.3502 - mae: 13.2516\n",
            "Epoch 39/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 249.8278 - mae: 13.0513\n",
            "Epoch 40/200\n",
            "40/40 [==============================] - 0s 949us/step - loss: 242.2707 - mae: 12.8510\n",
            "Epoch 41/200\n",
            "40/40 [==============================] - 0s 897us/step - loss: 234.9425 - mae: 12.6543\n",
            "Epoch 42/200\n",
            "40/40 [==============================] - 0s 960us/step - loss: 227.9030 - mae: 12.4611\n",
            "Epoch 43/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 220.8353 - mae: 12.2643\n",
            "Epoch 44/200\n",
            "40/40 [==============================] - 0s 894us/step - loss: 214.0763 - mae: 12.0713\n",
            "Epoch 45/200\n",
            "40/40 [==============================] - 0s 965us/step - loss: 207.3866 - mae: 11.8804\n",
            "Epoch 46/200\n",
            "40/40 [==============================] - 0s 824us/step - loss: 200.8576 - mae: 11.6894\n",
            "Epoch 47/200\n",
            "40/40 [==============================] - 0s 911us/step - loss: 194.4963 - mae: 11.4991\n",
            "Epoch 48/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 188.2338 - mae: 11.3147\n",
            "Epoch 49/200\n",
            "40/40 [==============================] - 0s 875us/step - loss: 182.1933 - mae: 11.1317\n",
            "Epoch 50/200\n",
            "40/40 [==============================] - 0s 923us/step - loss: 176.3281 - mae: 10.9458\n",
            "Epoch 51/200\n",
            "40/40 [==============================] - 0s 916us/step - loss: 170.4829 - mae: 10.7630\n",
            "Epoch 52/200\n",
            "40/40 [==============================] - 0s 986us/step - loss: 164.7884 - mae: 10.5818\n",
            "Epoch 53/200\n",
            "40/40 [==============================] - 0s 873us/step - loss: 159.3890 - mae: 10.4019\n",
            "Epoch 54/200\n",
            "40/40 [==============================] - 0s 883us/step - loss: 153.9492 - mae: 10.2244\n",
            "Epoch 55/200\n",
            "40/40 [==============================] - 0s 873us/step - loss: 148.7257 - mae: 10.0465\n",
            "Epoch 56/200\n",
            "40/40 [==============================] - 0s 966us/step - loss: 143.5853 - mae: 9.8704\n",
            "Epoch 57/200\n",
            "40/40 [==============================] - 0s 830us/step - loss: 138.6884 - mae: 9.6973\n",
            "Epoch 58/200\n",
            "40/40 [==============================] - 0s 946us/step - loss: 133.8081 - mae: 9.5208\n",
            "Epoch 59/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 129.0319 - mae: 9.3510\n",
            "Epoch 60/200\n",
            "40/40 [==============================] - 0s 920us/step - loss: 124.4863 - mae: 9.1835\n",
            "Epoch 61/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 120.0091 - mae: 9.0135\n",
            "Epoch 62/200\n",
            "40/40 [==============================] - 0s 891us/step - loss: 115.6689 - mae: 8.8468\n",
            "Epoch 63/200\n",
            "40/40 [==============================] - 0s 965us/step - loss: 111.4127 - mae: 8.6811\n",
            "Epoch 64/200\n",
            "40/40 [==============================] - 0s 930us/step - loss: 107.3198 - mae: 8.5202\n",
            "Epoch 65/200\n",
            "40/40 [==============================] - 0s 857us/step - loss: 103.3104 - mae: 8.3572\n",
            "Epoch 66/200\n",
            "40/40 [==============================] - 0s 871us/step - loss: 99.4431 - mae: 8.1960\n",
            "Epoch 67/200\n",
            "40/40 [==============================] - 0s 897us/step - loss: 95.6920 - mae: 8.0361\n",
            "Epoch 68/200\n",
            "40/40 [==============================] - 0s 955us/step - loss: 91.9870 - mae: 7.8790\n",
            "Epoch 69/200\n",
            "40/40 [==============================] - 0s 933us/step - loss: 88.4355 - mae: 7.7237\n",
            "Epoch 70/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 85.0138 - mae: 7.5702\n",
            "Epoch 71/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 81.6762 - mae: 7.4166\n",
            "Epoch 72/200\n",
            "40/40 [==============================] - 0s 932us/step - loss: 78.4025 - mae: 7.2663\n",
            "Epoch 73/200\n",
            "40/40 [==============================] - 0s 866us/step - loss: 75.2730 - mae: 7.1189\n",
            "Epoch 74/200\n",
            "40/40 [==============================] - 0s 927us/step - loss: 72.2516 - mae: 6.9737\n",
            "Epoch 75/200\n",
            "40/40 [==============================] - 0s 838us/step - loss: 69.2733 - mae: 6.8261\n",
            "Epoch 76/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 66.4678 - mae: 6.6832\n",
            "Epoch 77/200\n",
            "40/40 [==============================] - 0s 984us/step - loss: 63.6821 - mae: 6.5396\n",
            "Epoch 78/200\n",
            "40/40 [==============================] - 0s 969us/step - loss: 61.0142 - mae: 6.3988\n",
            "Epoch 79/200\n",
            "40/40 [==============================] - 0s 949us/step - loss: 58.4564 - mae: 6.2618\n",
            "Epoch 80/200\n",
            "40/40 [==============================] - 0s 883us/step - loss: 55.9466 - mae: 6.1248\n",
            "Epoch 81/200\n",
            "40/40 [==============================] - 0s 833us/step - loss: 53.5872 - mae: 5.9917\n",
            "Epoch 82/200\n",
            "40/40 [==============================] - 0s 899us/step - loss: 51.2445 - mae: 5.8572\n",
            "Epoch 83/200\n",
            "40/40 [==============================] - 0s 843us/step - loss: 49.0140 - mae: 5.7280\n",
            "Epoch 84/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 46.8716 - mae: 5.6005\n",
            "Epoch 85/200\n",
            "40/40 [==============================] - 0s 797us/step - loss: 44.8088 - mae: 5.4720\n",
            "Epoch 86/200\n",
            "40/40 [==============================] - 0s 828us/step - loss: 42.7918 - mae: 5.3448\n",
            "Epoch 87/200\n",
            "40/40 [==============================] - 0s 881us/step - loss: 40.8996 - mae: 5.2242\n",
            "Epoch 88/200\n",
            "40/40 [==============================] - 0s 953us/step - loss: 39.0508 - mae: 5.1001\n",
            "Epoch 89/200\n",
            "40/40 [==============================] - 0s 941us/step - loss: 37.2841 - mae: 4.9791\n",
            "Epoch 90/200\n",
            "40/40 [==============================] - 0s 849us/step - loss: 35.5776 - mae: 4.8633\n",
            "Epoch 91/200\n",
            "40/40 [==============================] - 0s 907us/step - loss: 33.9613 - mae: 4.7466\n",
            "Epoch 92/200\n",
            "40/40 [==============================] - 0s 929us/step - loss: 32.3777 - mae: 4.6358\n",
            "Epoch 93/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 30.9041 - mae: 4.5266\n",
            "Epoch 94/200\n",
            "40/40 [==============================] - 0s 914us/step - loss: 29.4457 - mae: 4.4173\n",
            "Epoch 95/200\n",
            "40/40 [==============================] - 0s 927us/step - loss: 28.0957 - mae: 4.3116\n",
            "Epoch 96/200\n",
            "40/40 [==============================] - 0s 998us/step - loss: 26.7748 - mae: 4.2078\n",
            "Epoch 97/200\n",
            "40/40 [==============================] - 0s 918us/step - loss: 25.5250 - mae: 4.1052\n",
            "Epoch 98/200\n",
            "40/40 [==============================] - 0s 924us/step - loss: 24.3272 - mae: 4.0051\n",
            "Epoch 99/200\n",
            "40/40 [==============================] - 0s 941us/step - loss: 23.1846 - mae: 3.9082\n",
            "Epoch 100/200\n",
            "40/40 [==============================] - 0s 916us/step - loss: 22.1059 - mae: 3.8115\n",
            "Epoch 101/200\n",
            "40/40 [==============================] - 0s 860us/step - loss: 21.0627 - mae: 3.7185\n",
            "Epoch 102/200\n",
            "40/40 [==============================] - 0s 854us/step - loss: 20.0810 - mae: 3.6269\n",
            "Epoch 103/200\n",
            "40/40 [==============================] - 0s 912us/step - loss: 19.1480 - mae: 3.5367\n",
            "Epoch 104/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 18.2505 - mae: 3.4512\n",
            "Epoch 105/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 17.4210 - mae: 3.3669\n",
            "Epoch 106/200\n",
            "40/40 [==============================] - 0s 986us/step - loss: 16.6081 - mae: 3.2848\n",
            "Epoch 107/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 15.8500 - mae: 3.2077\n",
            "Epoch 108/200\n",
            "40/40 [==============================] - 0s 852us/step - loss: 15.1413 - mae: 3.1339\n",
            "Epoch 109/200\n",
            "40/40 [==============================] - 0s 917us/step - loss: 14.4602 - mae: 3.0604\n",
            "Epoch 110/200\n",
            "40/40 [==============================] - 0s 927us/step - loss: 13.8150 - mae: 2.9931\n",
            "Epoch 111/200\n",
            "40/40 [==============================] - 0s 883us/step - loss: 13.2070 - mae: 2.9282\n",
            "Epoch 112/200\n",
            "40/40 [==============================] - 0s 932us/step - loss: 12.6428 - mae: 2.8671\n",
            "Epoch 113/200\n",
            "40/40 [==============================] - 0s 859us/step - loss: 12.0986 - mae: 2.8054\n",
            "Epoch 114/200\n",
            "40/40 [==============================] - 0s 947us/step - loss: 11.6027 - mae: 2.7453\n",
            "Epoch 115/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 11.1187 - mae: 2.6892\n",
            "Epoch 116/200\n",
            "40/40 [==============================] - 0s 965us/step - loss: 10.6719 - mae: 2.6356\n",
            "Epoch 117/200\n",
            "40/40 [==============================] - 0s 927us/step - loss: 10.2536 - mae: 2.5803\n",
            "Epoch 118/200\n",
            "40/40 [==============================] - 0s 864us/step - loss: 9.8600 - mae: 2.5309\n",
            "Epoch 119/200\n",
            "40/40 [==============================] - 0s 952us/step - loss: 9.4869 - mae: 2.4831\n",
            "Epoch 120/200\n",
            "40/40 [==============================] - 0s 959us/step - loss: 9.1455 - mae: 2.4377\n",
            "Epoch 121/200\n",
            "40/40 [==============================] - 0s 913us/step - loss: 8.8218 - mae: 2.3936\n",
            "Epoch 122/200\n",
            "40/40 [==============================] - 0s 867us/step - loss: 8.5266 - mae: 2.3504\n",
            "Epoch 123/200\n",
            "40/40 [==============================] - 0s 901us/step - loss: 8.2377 - mae: 2.3121\n",
            "Epoch 124/200\n",
            "40/40 [==============================] - 0s 940us/step - loss: 7.9802 - mae: 2.2748\n",
            "Epoch 125/200\n",
            "40/40 [==============================] - 0s 955us/step - loss: 7.7306 - mae: 2.2420\n",
            "Epoch 126/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 7.5063 - mae: 2.2108\n",
            "Epoch 127/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 7.2924 - mae: 2.1805\n",
            "Epoch 128/200\n",
            "40/40 [==============================] - 0s 937us/step - loss: 7.0977 - mae: 2.1533\n",
            "Epoch 129/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 6.9157 - mae: 2.1284\n",
            "Epoch 130/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 6.7419 - mae: 2.1044\n",
            "Epoch 131/200\n",
            "40/40 [==============================] - 0s 967us/step - loss: 6.5852 - mae: 2.0803\n",
            "Epoch 132/200\n",
            "40/40 [==============================] - 0s 919us/step - loss: 6.4377 - mae: 2.0595\n",
            "Epoch 133/200\n",
            "40/40 [==============================] - 0s 951us/step - loss: 6.3047 - mae: 2.0385\n",
            "Epoch 134/200\n",
            "40/40 [==============================] - 0s 940us/step - loss: 6.1776 - mae: 2.0181\n",
            "Epoch 135/200\n",
            "40/40 [==============================] - 0s 979us/step - loss: 6.0607 - mae: 2.0000\n",
            "Epoch 136/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 5.9519 - mae: 1.9835\n",
            "Epoch 137/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 5.8528 - mae: 1.9685\n",
            "Epoch 138/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 5.7608 - mae: 1.9538\n",
            "Epoch 139/200\n",
            "40/40 [==============================] - 0s 992us/step - loss: 5.6720 - mae: 1.9386\n",
            "Epoch 140/200\n",
            "40/40 [==============================] - 0s 968us/step - loss: 5.5931 - mae: 1.9257\n",
            "Epoch 141/200\n",
            "40/40 [==============================] - 0s 997us/step - loss: 5.5204 - mae: 1.9128\n",
            "Epoch 142/200\n",
            "40/40 [==============================] - 0s 963us/step - loss: 5.4524 - mae: 1.9011\n",
            "Epoch 143/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 5.3877 - mae: 1.8888\n",
            "Epoch 144/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 5.3278 - mae: 1.8785\n",
            "Epoch 145/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 5.2742 - mae: 1.8685\n",
            "Epoch 146/200\n",
            "40/40 [==============================] - 0s 931us/step - loss: 5.2216 - mae: 1.8594\n",
            "Epoch 147/200\n",
            "40/40 [==============================] - 0s 983us/step - loss: 5.1745 - mae: 1.8507\n",
            "Epoch 148/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 5.1304 - mae: 1.8430\n",
            "Epoch 149/200\n",
            "40/40 [==============================] - 0s 987us/step - loss: 5.0874 - mae: 1.8352\n",
            "Epoch 150/200\n",
            "40/40 [==============================] - 0s 933us/step - loss: 5.0484 - mae: 1.8271\n",
            "Epoch 151/200\n",
            "40/40 [==============================] - 0s 2ms/step - loss: 5.0123 - mae: 1.8205\n",
            "Epoch 152/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.9773 - mae: 1.8134\n",
            "Epoch 153/200\n",
            "40/40 [==============================] - 0s 949us/step - loss: 4.9452 - mae: 1.8072\n",
            "Epoch 154/200\n",
            "40/40 [==============================] - 0s 915us/step - loss: 4.9156 - mae: 1.8006\n",
            "Epoch 155/200\n",
            "40/40 [==============================] - 0s 825us/step - loss: 4.8861 - mae: 1.7949\n",
            "Epoch 156/200\n",
            "40/40 [==============================] - 0s 894us/step - loss: 4.8610 - mae: 1.7898\n",
            "Epoch 157/200\n",
            "40/40 [==============================] - 0s 940us/step - loss: 4.8354 - mae: 1.7837\n",
            "Epoch 158/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.8108 - mae: 1.7786\n",
            "Epoch 159/200\n",
            "40/40 [==============================] - 0s 914us/step - loss: 4.7904 - mae: 1.7744\n",
            "Epoch 160/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.7675 - mae: 1.7698\n",
            "Epoch 161/200\n",
            "40/40 [==============================] - 0s 900us/step - loss: 4.7498 - mae: 1.7653\n",
            "Epoch 162/200\n",
            "40/40 [==============================] - 0s 975us/step - loss: 4.7286 - mae: 1.7609\n",
            "Epoch 163/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.7128 - mae: 1.7573\n",
            "Epoch 164/200\n",
            "40/40 [==============================] - 0s 942us/step - loss: 4.6945 - mae: 1.7534\n",
            "Epoch 165/200\n",
            "40/40 [==============================] - 0s 999us/step - loss: 4.6786 - mae: 1.7493\n",
            "Epoch 166/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.6634 - mae: 1.7458\n",
            "Epoch 167/200\n",
            "40/40 [==============================] - 0s 958us/step - loss: 4.6487 - mae: 1.7424\n",
            "Epoch 168/200\n",
            "40/40 [==============================] - 0s 996us/step - loss: 4.6359 - mae: 1.7396\n",
            "Epoch 169/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.6228 - mae: 1.7358\n",
            "Epoch 170/200\n",
            "40/40 [==============================] - 0s 972us/step - loss: 4.6097 - mae: 1.7331\n",
            "Epoch 171/200\n",
            "40/40 [==============================] - 0s 948us/step - loss: 4.5979 - mae: 1.7300\n",
            "Epoch 172/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.5861 - mae: 1.7274\n",
            "Epoch 173/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.5759 - mae: 1.7243\n",
            "Epoch 174/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.5662 - mae: 1.7221\n",
            "Epoch 175/200\n",
            "40/40 [==============================] - 0s 878us/step - loss: 4.5559 - mae: 1.7194\n",
            "Epoch 176/200\n",
            "40/40 [==============================] - 0s 950us/step - loss: 4.5472 - mae: 1.7171\n",
            "Epoch 177/200\n",
            "40/40 [==============================] - 0s 944us/step - loss: 4.5385 - mae: 1.7148\n",
            "Epoch 178/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.5301 - mae: 1.7126\n",
            "Epoch 179/200\n",
            "40/40 [==============================] - 0s 945us/step - loss: 4.5233 - mae: 1.7111\n",
            "Epoch 180/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.5167 - mae: 1.7092\n",
            "Epoch 181/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.5096 - mae: 1.7073\n",
            "Epoch 182/200\n",
            "40/40 [==============================] - 0s 962us/step - loss: 4.5045 - mae: 1.7062\n",
            "Epoch 183/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.4967 - mae: 1.7043\n",
            "Epoch 184/200\n",
            "40/40 [==============================] - 0s 990us/step - loss: 4.4904 - mae: 1.7030\n",
            "Epoch 185/200\n",
            "40/40 [==============================] - 0s 994us/step - loss: 4.4858 - mae: 1.7020\n",
            "Epoch 186/200\n",
            "40/40 [==============================] - 0s 961us/step - loss: 4.4805 - mae: 1.7007\n",
            "Epoch 187/200\n",
            "40/40 [==============================] - 0s 937us/step - loss: 4.4771 - mae: 1.6999\n",
            "Epoch 188/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.4734 - mae: 1.6993\n",
            "Epoch 189/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.4683 - mae: 1.6984\n",
            "Epoch 190/200\n",
            "40/40 [==============================] - 0s 884us/step - loss: 4.4645 - mae: 1.6971\n",
            "Epoch 191/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.4610 - mae: 1.6967\n",
            "Epoch 192/200\n",
            "40/40 [==============================] - 0s 942us/step - loss: 4.4568 - mae: 1.6955\n",
            "Epoch 193/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.4531 - mae: 1.6947\n",
            "Epoch 194/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.4502 - mae: 1.6939\n",
            "Epoch 195/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.4481 - mae: 1.6938\n",
            "Epoch 196/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.4463 - mae: 1.6935\n",
            "Epoch 197/200\n",
            "40/40 [==============================] - 0s 991us/step - loss: 4.4440 - mae: 1.6931\n",
            "Epoch 198/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.4406 - mae: 1.6919\n",
            "Epoch 199/200\n",
            "40/40 [==============================] - 0s 935us/step - loss: 4.4378 - mae: 1.6914\n",
            "Epoch 200/200\n",
            "40/40 [==============================] - 0s 1ms/step - loss: 4.4372 - mae: 1.6911\n",
            "w =  [[2.02234507]\n",
            " [-3.00315189]]\n",
            "b =  [2.85123491]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YOInIcgofZ0b"
      },
      "source": [
        "## 结果展示"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qLGAjdP7fbSB",
        "outputId": "b4fb5e9f-9ca1-4b20-e581-5829791f5a7b",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 463
        }
      },
      "source": [
        "# 结果可视化\n",
        "\n",
        "%matplotlib inline\n",
        "%config InlineBackend.figure_format = 'svg'\n",
        "\n",
        "w,b = model.variables\n",
        "\n",
        "plt.figure(figsize = (12,5))\n",
        "ax1 = plt.subplot(121)\n",
        "ax1.scatter(X[:,0],Y[:,0], c = \"b\",label = \"samples\")\n",
        "ax1.plot(X[:,0],w[0]*X[:,0]+b[0],\"-r\",linewidth = 5.0,label = \"model\")\n",
        "ax1.legend()\n",
        "plt.xlabel(\"x1\")\n",
        "plt.ylabel(\"y\",rotation = 0)\n",
        "\n",
        "ax2 = plt.subplot(122)\n",
        "ax2.scatter(X[:,1],Y[:,0], c = \"g\",label = \"samples\")\n",
        "ax2.plot(X[:,1],w[1]*X[:,1]+b[0],\"-r\",linewidth = 5.0,label = \"model\")\n",
        "ax2.legend()\n",
        "plt.xlabel(\"x2\")\n",
        "plt.ylabel(\"y\",rotation = 0)\n",
        "\n",
        "plt.show()"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x360 with 2 Axes>"
            ],
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